Interacting Plot of Atomic nuclei  & Computed Shapes

InPACS

原子核

22787Fr140

フランシウム

Francium

ベータ変形度 (Beta deformation) 0.2055
ガンマ変形度 (Gamma deformation) 0.1385
八重極変形度 (Octupole deformation) 0
半径 (Root-mean-square radius) [ fm ] 5.791
中性子半径 (Neutron RMS radius) [ fm ] 5.8665
陽子半径 (Proton RMS radius) [ fm ] 5.668
中性子ギャップエネルギー (Neutron gap energy) [ MeV ] 0.701
陽子ギャップエネルギー (Proton gap energy) [ MeV ] 0.7555
中性子化学ポテンシャル (Neutron chemical potential) [ MeV ] -5.5795
陽子化学ポテンシャル (Proton chemical potential) [ MeV ] -6.428

 

密度表データ Data table of density distribution

Distance from the center of nucleus [fm] Nucleon (proton+neutron) density [fm-3] Neutron density [fm-3] Proton density [fm-3]
0.00 0.1472173427 0.0750094146 0.0722079282
0.10 0.1472501805 0.0751906456 0.0720595349
0.30 0.1475028825 0.0765956009 0.0709072816
0.50 0.1479549521 0.0791660823 0.0687888698
0.70 0.1485095058 0.0824736642 0.0660358416
0.90 0.1490459146 0.0859885022 0.0630574124
1.10 0.1494476983 0.0891827313 0.0602649670
1.30 0.1496333601 0.0916277405 0.0580056195
1.50 0.1495818404 0.0930676449 0.0565141955
1.70 0.1493436785 0.0934573408 0.0558863377
1.90 0.1490320084 0.0929594232 0.0560725852
2.10 0.1487936442 0.0919000679 0.0568935762
2.30 0.1487676852 0.0906909080 0.0580767772
2.50 0.1490443238 0.0897322784 0.0593120454
2.70 0.1496371570 0.0893205320 0.0603166250
2.90 0.1504774918 0.0895836222 0.0608938696
3.10 0.1514311227 0.0904615342 0.0609695885
3.30 0.1523308922 0.0917338295 0.0605970627
3.50 0.1530149312 0.0930826661 0.0599322651
3.70 0.1533607749 0.0941721522 0.0591886227
3.90 0.1533076467 0.0947245230 0.0585831237
4.10 0.1528616191 0.0945772907 0.0582843284
4.30 0.1520811658 0.0937102793 0.0583708866
4.50 0.1510446698 0.0922367039 0.0588079659
4.70 0.1498068295 0.0903592779 0.0594475516
4.90 0.1483559309 0.0883013082 0.0600546227
5.10 0.1465856841 0.0862317760 0.0603539081
5.30 0.1442917522 0.0842076262 0.0600841261
5.50 0.1411953027 0.0821517438 0.0590435589
5.70 0.1369877777 0.0798723250 0.0571154528
5.90 0.1313863838 0.0771149468 0.0542714371
6.10 0.1241894640 0.0736295747 0.0505598893
6.30 0.1153232288 0.0692337270 0.0460895018
6.50 0.1048739925 0.0638580690 0.0410159235
6.70 0.0931017979 0.0575679470 0.0355338509
6.90 0.0804320206 0.0505605479 0.0298714727
7.10 0.0674219092 0.0431409015 0.0242810077
7.30 0.0547004543 0.0356809777 0.0190194766
7.50 0.0428844699 0.0285663456 0.0143181243
7.70 0.0324829378 0.0221367566 0.0103461812
7.90 0.0238137209 0.0166319525 0.0071817684
8.10 0.0169630300 0.0121588399 0.0048041901
8.30 0.0118064825 0.0086931592 0.0031133233
8.50 0.0080813431 0.0061141483 0.0019671948
8.70 0.0054743107 0.0042542952 0.0012200154
8.90 0.0036898244 0.0029427438 0.0007470805
9.10 0.0024850415 0.0020311240 0.0004539175
9.30 0.0016773440 0.0014026646 0.0002746794
9.50 0.0011369922 0.0009709889 0.0001660034
9.70 0.0007750132 0.0006746189 0.0001003943
9.90 0.0005316401 0.0004707983 0.0000608418
10.10 0.0003671621 0.0003301795 0.0000369826
10.30 0.0002553161 0.0002327555 0.0000225606
10.50 0.0001787436 0.0001649266 0.0000138170
10.70 0.0001259494 0.0001174520 0.0000084973
10.90 0.0000892915 0.0000840431 0.0000052484
11.10 0.0000636623 0.0000604059 0.0000032564
11.30 0.0000456244 0.0000435947 0.0000020297
11.50 0.0000328472 0.0000315765 0.0000012707
11.70 0.0000237386 0.0000229403 0.0000007983
11.90 0.0000172050 0.0000167026 0.0000005024
12.10 0.0000124924 0.0000121764 0.0000003160
12.30 0.0000090791 0.0000088807 0.0000001985
12.50 0.0000066022 0.0000064776 0.0000001247
12.70 0.0000048057 0.0000047268 0.0000000789
12.90 0.0000035049 0.0000034539 0.0000000510
13.10 0.0000025637 0.0000025297 0.0000000341
13.30 0.0000018803 0.0000018569 0.0000000235
13.50 0.0000013795 0.0000013633 0.0000000162
13.70 0.0000010080 0.0000009971 0.0000000109
13.90 0.0000007300 0.0000007232 0.0000000068
14.10 0.0000005225 0.0000005186 0.0000000039
14.30 0.0000003705 0.0000003681 0.0000000024
14.50 0.0000002620 0.0000002601 0.0000000019
14.70 0.0000001863 0.0000001840 0.0000000023
14.90 0.0000001327 0.0000001299 0.0000000027
15.10 0.0000000923 0.0000000894 0.0000000029
15.30 0.0000000595 0.0000000570 0.0000000025
15.50 0.0000000324 0.0000000307 0.0000000016
15.70 0.0000000122 0.0000000115 0.0000000007
15.90 0.0000000014 0.0000000013 0.0000000001
16.10 0.0000000000 0.0000000000 0.0000000000

陽子・中性子の密度分布。横軸(r)は原子核中心からの距離。縦軸は青線が中性子密度、赤線が陽子密度で、細線は右側の縦軸に表示されている対数目盛りでの値を表している。

(球形を仮定した計算コードを用いた結果)

(球形を仮定しない3次元計算の結果はこちら

 

Density distribution of protons and neutrons. The horizontal axis indicates the distance from the center of the nucleus. The proton (neutron) density is shown by the red (blue) line. The thin lines are plotted in the log scale, corresponding to the scales in the right vertical axis.

(The calculation assumes the spherical shape.)

(Here is the result of the 3D calculation with deformation.)

 

 

 

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To the extent possible under law, Takashi Nakatsukasa has waived all copyright and related or neighboring rights to InPACS. This work is published from: Japan.

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